2017
Том 69
№ 9

All Issues

Higher-order parabolic variational inequality in unbounded domains

Medvid’ I. M.

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Abstract

We prove the existence and uniqueness of a solution of a nonlinear parabolic variational inequality in an unbounded domain without conditions at infinity. In particular, the initial data may infinitely increase at infinity, and a solution of the inequality is unique without any restrictions on its behavior at infinity.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 7, pp 1114-1135.

Citation Example: Medvid’ I. M. Higher-order parabolic variational inequality in unbounded domains // Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 949–968.

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